Final answer:
The flow rate of a centrifugal pump with a 6-inch diameter impeller, up from a 5-inch diameter, would be 432 GPM, assuming all other factors remain constant.
Step-by-step explanation:
The question pertains to the change in flow rate when the diameter of a centrifugal pump's impeller is changed.
When the diameter of a pump's impeller increases, the flow rate is affected by the square of the increase in diameter, assuming other factors like pump speed and efficiency remain constant.
Therefore, if the diameter is increased from 5 inches to 6 inches, the flow rate can be calculated using the square of the ratio of the diameters (6/5).
Mathematically, the new flow rate Qnew is determined by the formula:
Qnew = Qoriginal x (Dnew/Doriginal)2
Where Qoriginal is the original flow rate (300 GPM), Dnew is the new diameter (6 inches), and Doriginal is the original diameter (5 inches).
Thus, Qnew = 300 GPM x (6/5)2
= 300 GPM x 1.44
= 432 GPM